The rate of​ healing, A′(t)​(in square centimeters per​ day), for a certain type of abrasive skin wound is given approximately by the table.

t 0 1 2 3
A′(t) 0.91 0.83 0.76 0.69

t 4 5 6 7
A′(t) 0.62 0.58 0.48 0.44 ​

Use left and right sums over five equal subintervals to approximate the area under the graph of A′(t) from t=0 to t=5.

The left​ sum, L5​, is __________.
The right​ sum, R5​, is ______________.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

t          0           1              2          3            4            5           6            7

A'(t)    0.91       0.83       0.76     0.69       0.62      0.58      0.48      0.44

a)  [tex]\Delta x = \dfrac{5-0}{5}[/tex]

[tex]\Delta x = 1[/tex]

[tex]L_ 5= \Delta x ( (A'(0)+A'(1)+A'(2)+A'(3)+A'(4)) \\ \\ = 1 (0.91 + 0.83+ 0.76 +0.69 + 0.62 ) \\\\ L_5 =1( 3.81) \\ \\ \mathbf{L_5 = 3.81}[/tex]

[tex]R_ 5= \Delta x ( (A'(1)+A'(2)+A'(3)+A'(4)+A'(5)) \\ \\ = 1 ( 0.83+ 0.76 +0.69 + 0.62 +0.58) \\\\ R_5 =1( 3.48) \\ \\ \mathbf{R_5 = 3.48}[/tex]

The true statement:

[tex]Since, R_5 = 3.48 \ and \ L_5 = 3.81; \\ \\ Then : R_5 \le \int \limits ^5_0 A'(t) dt \le L_5[/tex]


Related Questions

original price $50 mark up 10% selling price?

Answers

Answer:

$55

Step-by-step explanation:

$50 + 0.10($50) = 1.1 * 50 = $55

NO LINKS PLEASE

Which algebraic rule represents the pattern in the table?

Answers

multiplying each number by 8

Answer: n=m divided by 8

Step-by-step explanation:

Select all equations that have at least one integer solution.

Answers

Answer:

b and d

Step-by-step explanation:

The equations have at least one integer solution are equation B: √(3x) = 75 and equation D:√x = x - 12.

What is the solution to the given equations?

The value of x is known as the solution.

A.  √(4x) = 5

On squaring, we have

4x = 25

 x = 6.25

The value is not an integer.

B.  √(3x) = 75

On squaring, we have

3x = 5625

 x = 1875

The value is an integer.

C.  8√x = √16

On squaring, we have

64x = 16

    x = 0.25

The value is not an integer.

D.  √x = x - 12

On squaring, we have

          (x - 12)² = x

x² - 24x + 144 = x

x² - 25x + 144 = 0

  (x - 16)(x - 9) = 0

                    x = 9, 16

The value is an integer.

E.  √(10 - x) = x - 2

On squaring, we have

                (x - 2)² = 10 - x

          x² - 4x + 4 = 10 - x

           x² - 3x - 6 = 0

(x - 4.37)(x + 1.37) = 0

                          x = -1.37, 4.37

The value is not an integer.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $224.25

Enter an equation to model the relationship between the number of hours worked h and the amount earned e

The equation is:

Answers

Answer:

slope- (261)

Step-by-step explanation:

find the value of" A" such that triangle DEF with vertices D (a,1) , E(10,7) and F(7 ,11) is a right angle at E?​

Answers

a=2

Answer:

(m1) slope of DE=(7-1)/(10-a)=6/(10-a)

(m2) slope of EF=(11-7)/(7-10)=4/-3=-4/3

since line are perpendicular

m1m2=-1

6/(10-a) ×-4/3=-1

6/(10-a)=3/4

6×4=3(10-a)

24=30-3a

3a=30-24

a=6/3=2


Snow fell at a rate of
of an inch/hour. How much
snow fell in a period of 6
hours?

Answers

Answer:

Step-by-step explanation:

that implies a simple multiplication:

snow = (3/4)(6) = 4.5 inch

and note the units elimination in the operation as well:

= [inch/hour][hour] = inch

My fault if im wrong :(

6 inches. If 1 inch fell every hour for 6 hours, 6 inches of snow would have fallen.

Directions: Read the following questions. Write the letter of the
correct answer.
1. Which of these lines pass a common point?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
2. Which of these lines meet at a point and produce square
corner or right angle?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
3. Which of these lines never meet or intersect in any point?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
4. Which of the following has the same distance apart at all
times?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
5. Which of the following is not shown in the figure at the
right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel​

Answers

Answer:

1. A

2.D

3.B (parallel lines)

4.B

5. i don't have a picture of the figure so i'm not sure

1.A
2D
3B
4B
5there isn’t picture there

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
© a triangle that has the same dimensions as either base of the prism
O a triangle that does not necessarily have the same dimensions as either base of the prism
• a parallelogram that is not a rectangle
a rectangle

Answers

It’s is “ a triangle that has the same dimensions as either bass of the prism” because a triangular prism, each cross-section parallel to the triangular base is a triangle congruent to the base.

The number 4,250 is ten times smaller than what number?

Answers

Answer:

42,500

Step-by-step explanation:

The number which is ten times greater than 4250 is 42, 500.

What is algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The number 4,250 is ten times smaller than what number.

let the number be x.

So, x/10 = 4250

Now, make x as subject formula

x = 4250(10)

x= 42500

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2


1. The population of an endangered species of bird is decreasing 15 percent each year. If there were originally 1,400 birds remaining,
how many are left after six years?

Answers

Answer:

528 birds

Step-by-step explanation:

100%-15%= 85% = .85

1400 (.85)^6

= 528

a painter is paid by the hour if he is paid 360 for 12 hours work how much will he be paid for 9 hours work​

Answers

Answer: $270

Step-by-step explanation:

1. calculate how much he's getting paid per hour

- 360 / 12 = $30

2. calculate  how much he's getting paid for 9 hours

- 30 * 9 = $270

The amount he would be paid for 9 hours of work is  270.

How much would the painter be paid for 9 hours of work?

The first step is to determin1 be how much the painter would be paid for 1 hour of work.

Pay for working for 1 hour = 360 / 12 = 30

The pay for 9 hours = 30 x 9 = 270

A basket has 6 bananas, 2 oranges and 4 apples. What is the probability of pulling out an apple?

Answers

I think it's 8 but I'm not completely sure. What I did is 6+2+4 which is 12 and 12-4=8 but I'm not sure. I think it's wrong sorry I just need points..

Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?

Answers

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

name the song
What is the median of the data set shown?34, 86, 12, 56, 21, 98, 72, 34, 21, 34, 45, 23, 97, 44

Answers

Answer:

39

Step-by-step explanation:

median is the middle number

12, 21, 21, 23, 34, 34, 34, 44, 45, 56, 72, 86, 97, 98

34-44=10

10/2=5

34+5=39

39

.. Is the product of (-2.1)(3.7)(8)(4.5) positive or negative?*

Answers

Answer:

negative

Step-by-step explanation:

(-2.1)(3.7)(8)(4.5)= -279.72

Help please I need to complete this before 12

Answers

Answer:

Look at the answers bolded below

Step-by-step explanation:

To get the reference angle, just subtract 115° from 180°

180 - 115 = 65

So the reference angle is 65°

I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.

For example, a positive coterminal angle could be:

115 + 360 = 475°

a negative coterminal angle could be:

115 - 360  = -245°

Hope this helped :)

2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation​

Answers

Answer:

Step-by-step explanation:

C sampling

-3 < 5 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

true?

Step-by-step explanation:

help me please, im also timed!!​

Answers

Answer:

Point A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4 to the right, 1 up is point A

For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)

Answers

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Lucy wants to buy a new laptop for school. She has a $25 off coupon, but the store is also having a sale for 15%. Unfortunately she can not get both discounts and must pick one. If the laptop costs $200, which one should she use?

Answers

Answer:

15% discount

Step-by-step explanation:

200 x .15 is 30 which means that you save 5 dollars more when using that discount rather than just 25.

Yolanda brought a CD to listen to on the bus the CD is 78 minutes long The bus ride was 2 1/2 hours long How many minutes longer was the bus ride than thr CD?

Answers

Answer:

2.5 times 60 equals 150. 150-78 equals 72. So the answer is 72.

Step-by-step explanation:

Hope this helps.

anyone please help .

...

Answers

Answer:

HI is 8 as the equal angles resemble equilateral triangle

rhe angle is 110 as the two equal sides represent isosceles triangle

Step-by-step explanation:

hope it helped!!!

Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day
Part A
How far did he jog each day? Enter your answer in the box,
2.8
milos
00:00
Part B
How many total miles would Ted jog if he continued to jog the same number of miles each day for 6 days? Enter your answer in the box

Answers

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

You roll a special 103 sided die. What is the probability of you rolling a 79? Round your answer to the thousandths place.

Answers

Answer:

0.010

Step-by-step explanation:

there is one 79 in the dice, and since there are 103 numbers in total, you use

1/103

= 0.00970873786

round to thousandths

= 0.010

2
The parabola y = x2 is scaled vertically by a factor of
3
What is the equation of the new parabola?

Answers

Answer:

Drop Out

Step-by-step explanation:

School Sucks

3=x2

hey my silly little bakas );) help me out here okay ????

Answers

i’m pretty sure it’s a

Answer:

The answer is A

Step-by-step explanation:

Yep im so smart. You defininetly need this answer a month later ;)

During a sale of computers, one-fourth of
the inventory was sold the first day. The next
day two-thirds of the remaining inventory was
sold. What percent of the total inventory was
sold during the second day?

Answers

Answer:

On the second day, 50% of the total computer inventory was sold.

Step-by-step explanation:

Since during a sale of computers, one-fourth of the inventory was sold the first day, while the next day two-thirds of the remaining inventory was sold, to determine what percent of the total inventory was sold during the second day, we must perform the following calculations:

1/4 = 0.25 = 25%

Remaining = 100 - 25 = 75%

75/3 = 25 x 2 = 50

Thus, on the second day, 50% of the total computer inventory was sold.

Solve this for me (geometry)

Answers

Given:

A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].

To find:

The length of KJ.

Solution:

From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.

Therefore, the length of KJ is 6 units.

Note: In the given question we need to find KL instead of KJ because KJ is already given.

According to the tangent secant theorem:

[tex]a^2=bc[/tex]

Where,

a is the length of the tangent.b is the length of the external segment of the secant.c is the measure of the secant.

Using the tangent secant theorem, we get

[tex]ML^2=KL\times JL[/tex]

[tex](4)^2=(x-2)\times (6+x-2)[/tex]

[tex]16=(x-2)\times (4+x)[/tex]

[tex]16=4x+x^2-8-2x[/tex]

On further simplification, we get

[tex]16=x^2+2x-8[/tex]

[tex]0=x^2+2x-8-16[/tex]

[tex]0=x^2+2x-24[/tex]

Splitting the middle term, we get

[tex]x^2+6x-4x-24=0[/tex]

[tex]x(x+6)-4(x+6)=0[/tex]

[tex](x+6)(x-4)=0[/tex]

[tex]x=-6,4[/tex]

For [tex]x=-6[/tex],

[tex]KJ=-6-2[/tex]

[tex]KJ=-8[/tex], which is not possible because side cannot be negative.

For [tex]x=4[/tex],

[tex]KJ=4-2[/tex]

[tex]KJ=2[/tex]

Therefore, the measure of KL is 2 units.

How many eggs does a rooster lay a day???​

Answers

Answer:

a rooster can't lay eggs

Step-by-step explanation:

a rooster is a male-

Answer:

0, A rooster is a male, it does not lay eggs. Hens lay eggs

Step-by-step explanation:

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